What is the y-intercept of the equation 4x + 5y = 20?
(0,4)
(0,5)
(4,0)
(5,0)

Answer:

4(2x) 4(-3)

Step-by-step explanation:

Separate the two parts of what is inside of the parentheses to “expand” it.

Answer:

The correct answer is

2x − 3

You can expand using the binomial expansion theorem.

Hope this helps!

- Quinn <3

Answer:

The length of EB is found 15

Step-by-step explanation:

As the diagram of the circle is not given in the question, I've found the diagram of the same question from internet and attached below. So that we can have a better understanding)

We can see in the diagram the chord AB and chord CD intersect each other at point E.

Each of the chord is divided into two segments.

According to the Intersecting Chords Theorem:

Products of the lengths of line segments on each chord are equal

Which means that

(AE)(EB) = (CE)(ED)

Substitute the given values;

(4)(EB) = (10)(6)

4(EB) = 60

EB = 15

Answer:

The length of EB is found 15

Step-by-step explanation:

As the diagram of the circle is not given in the question, I've found the diagram of the same question from internet and attached below. So that we can have a better understanding) We can see in the diagram the chord AB and chord CD intersect each other at point E. Each of the chord is divided into two segments. According to the Intersecting Chords Theorem: Products of the lengths of line segments on each chord are equal Which means that (AE)(EB) = (CE)(ED) Substitute the given values; (4)(EB) = (10)(6) 4(EB) = 60 EB = 15

Answer:

a = - 2, b = - 1

Step-by-step explanation:

If a polynomial f(x) is divisible by (x + h) then f(- h) = 0

P(x) is divisible by (x + 1), thus P(- 1) = 0 , that is

P(- 1) = (- 1)³ + a(- 1)² - b + 2 = 0 , that is

- 1 + a - b + 2 = 0

a - b + 1 = 0 ( subtract 1 from both sides )

a - b = - 1 → (1)

P(x) is divisible by (x - 2) thus P(2) = 0 , that is

P(2) = 2³ + a(2)² + 2b + 2 = 0 , that is

8 + 4a + 2b + 2 = 0

4a + 2b + 10 = 0 ( subtract 10 from both sides )

4a + 2b = - 10 → (2)

Solve (1) and (2) simultaneously

Multiply (1) by 2

2a - 2b = - 2 → (3)

Add (2) and (3) term by term eliminating the term in b

6a = - 12 ( divide both sides by 6 )

a = - 2

Substitute a = - 2 into (1) and solve for b

- 2 - b = - 1 ( add 2 to both sides )

- b = 1 ( multiply both sides by - 1 )

b = - 1

Answer:

Distance around the pool = 162.8 feet

Area of the pool = 957 square feet

Step-by-step explanation:

Distance around the swimming pool = Perimeter of the pool

Perimeter of the pool which is a composite figure will be,

= Circumference of the semicircle + Sum of three sides of the pool

= πr + 2×(length of the pool) + width of the pool

= 3.14×(10) + 2×40 + 20

= 62.8 + 80 + 20

= 162.8 ft

Area of the pool = Area of the semicircle + Area of the rectangular pool

                           = [tex]\frac{1}{2}(\pi)(r)^{2}+(\text{length}\times \text{Width})[/tex]

                           = [tex]\frac{1}{2}(3.14)(10)^2+(40\times 20)[/tex]

                           = 157 + 800

                           = 957 square feet

Answer:

To find the area of a shape, multiply the sides. Hope this helps! ;)

Answer:

YES!

Step-by-step explanation:

The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

Answer:

60 possible sequences.

Step-by-step explanation:

That would be 6! / 3! 2!

   6*5*4*3*2*1

=  ------------------

     3*2*1*2*1

= 5*4*3

= 60.

Answer:

the 5th number = 62-44 = 18

Step-by-step explanation:

Answer: (-2,3)

Step-by-step explanation:

-3x + 4y = 18

6x + 2y= -6        we have to eliminate one of the variables so you will have ot

2(-3x + 4y) = 18(2)     multiply the first equation by 2.  

-6x + 8y = 36

6x +  2y = -6       now we could eliminate the x terms by adding them and

 0  +   10y= 30   remember that is a new equation.  

        y=  3

Now we know that the y solution is 3 so we will put it into one of the equations and solve for x.

-6x + 8(3)=36

-6x + 24= 36

         -24   -24

-6x =  12

x= -2

The solution for the system of given linear equations is (-2, 3).

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are -3x + 4y = 18 ----(I) and 6x+2y = -6 ----(II).

By elimination method,

Multiply equation (I) by 2, we get

-6x+8y=36 ----(III)

Add equation (II) and (III), that is

-6x+8y+6x+2y=36-6

10y=30

y=3

Substitute, y=3 in -3x + 4y = 18, we get

-3x+4(3)=18

-3x=6

x=-2

Therefore, the solution for the system of given linear equations is (-2, 3).

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ5

Answer:

Two eighths

Step-by-step explanation:

Two eighths is one quarter and four eighths is a half. It's easy to split an object, like a cake, into eighths if you make them into quarters and then divide each quarter in half.

Answer:

GIT is congruent to AIN

By rule SAS

Step-by-step explanation:

welp hope this helps

Answer:

A

can i have brainliest lol

Step-by-step explanation:

when x = 3, the volume is 36.

4 times 9 = 36, so you multiply f(x) by g(x) to get 36

Answer:

it 8

Step-by-step explanation:

4^3 is 64

2^3 is 8

64/8 is 8

Step-by-step explanation:

Is this the graph you needed??

The dots are the shaded region

Step-by-step explanation:

The circumference of a wheel is 0.46π, and we simply have to multiply that by 829 which is 381.34π or 1197.41.

Answer:

see below

Step-by-step explanation:

Find the circumference

C = 2 * pi *r

C = 2(.23) * pi

C = .46pi

Since the wheel rotated 829 times, multiply the circumference by 829

829 * .46 pi

381.34 pi

If  pi = 3.14

1197.4076 meters

If using the pi button

1198.01494 meters

Answer:

Part A: 3x = -15

Part B: 2x+1= 4+1  (x=2)

Step-by-step explanation:

Answer:

One fish can be traded for 2 2/3 bags of rice.

Step-by-step explanation:

Key:

F = One fish

L = Loaf of bread

R = Bag of rice

So, with that set we see that:

3F = 2L & L = 4R

2L for 2 x 4 = 8R

So,

3F = 8R OR 3:8 OR 8/3

8/3 = 2 2/3, which is the answer.

it is 300 and 300

and 300

Answer:

its 4

Step-by-step explanation:

Answer:csc(x

Step-by-step explanation:You welcome

Answer:

[tex]\dfrac{-1+\sqrt{21}}{2}[/tex] and [tex]\dfrac{-1-\sqrt{21}}{2}[/tex].

Step-by-step explanation:

The given quadratic equation is

[tex]x^2=5-x[/tex]

It is can written as

[tex]x^2+x-5=0[/tex]

If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then the quadratic formula is

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

In the given quadratic equation [tex]a=1,b=1,c=-5[/tex]. So,

[tex]x=\dfrac{-1\pm \sqrt{1^2-4(1)(-5)}}{2(1)}[/tex]

[tex]x=\dfrac{-1\pm \sqrt{1+20}}{2}[/tex]

[tex]x=\dfrac{-1\pm \sqrt{21}}{2}[/tex]

[tex]x=\dfrac{-1+\sqrt{21}}{2},\dfrac{-1-\sqrt{21}}{2}[/tex]

Therefore, the values of x are [tex]\dfrac{-1+\sqrt{21}}{2}[/tex] and [tex]\dfrac{-1-\sqrt{21}}{2}[/tex].

Answer:

B. Line c

Step-by-step explanation:

looking at the points, 3, -2 is on line c.

// have a great day //

Answer:

8

Step-by-step explanation:

Since the area of a kite is half the product of the diagonals:

60=15*x/2

120=15*x

x=120/15=8

Hope this helps!

Answer:

[tex](x+2)(x-3)[/tex]

Step-by-step explanation:

[tex]x^2-x-6[/tex]

[tex]x^2-3x+2x-6[/tex]

[tex]x(x-3)+2(x-3)[/tex]

[tex](x+2)(x-3)[/tex]

Answer:

(x-3) (x+2)

Step-by-step explanation:

I just got the question right on the exam!

Answer:

4/5

Step-by-step explanation:

4x-5y=0  

subtract 4x on both the sides  

4x-4x-5y = 0-4x  

-5y = -4x

divide by -5 on both the sides  

-5y/-5 = -4x/-5

y =( 4/5 )x  

Answer:

I got - 5 as an answer.

I don't think I made a mistake.

Please if you find any error, contact me in the comment section.

Step-by-step explanation:

[tex]a = -3 , b= 4 ,c= - 5\\(a+b)c\\(-3+4)-5\\(1)*(-5)\\Answer = -5[/tex]

Answer:

D

Step-by-step explanation:

Answer:

the vertex is (4,-1)